31 citations · 145 across the 11 of their papers we have counts for
11 papers
Momentum-based gradient descent methods for Lie groups
Cédric M. Campos, David Martín de Diego, José Torrente-Teruel
Polyak's Heavy Ball (PHB; Polyak, 1964), a.k.a. Classical Momentum, and Nesterov's Accelerated Gradient (NAG; Nesterov, 1983) are well-established momentum-descent methods for opti…
A Discrete Variational Derivation of Accelerated Methods in Optimization
Cédric M. Campos, Alejandro Mahillo, David Martín de Diego
Many of the new developments in machine learning are connected with gradient-based optimization methods. Recently, these methods have been studied using a variational perspective.…
Palindromic 3-stage splitting integrators, a roadmap
Cédric M. Campos, J. M. Sanz-Serna
The implementation of multi-stage splitting integrators is essentially the same as the implementation of the familiar Strang/Verlet method. Therefore multi-stage formulas may be ea…
High order variational integrators in the optimal control of mechanical systems
Cédric M. Campos, Sina Ober-Blöbaum, Emmanuel Trélat
In recent years, much effort in designing numerical methods for the simulation and optimization of mechanical systems has been put into schemes which are structure preserving. One…
Extra Chance Generalized Hybrid Monte Carlo
Cédric M. Campos, J. M. Sanz-Serna
We study a method, Extra Chance Generalized Hybrid Monte Carlo, to avoid rejections in the Hybrid Monte Carlo method and related algorithms. In the spirit of delayed rejection, whe…
Higher Order Variational Integrators: a polynomial approach
Cédric M. Campos
We reconsider the variational derivation of symplectic partitioned Runge-Kutta schemes. Such type of variational integrators are of great importance since they integrate mechanical…
Higher order variational time discretization of optimal control problems
C. M. Campos, O. Junge, S. Ober-Blöbaum
We reconsider the variational integration of optimal control problems for mechanical systems based on a direct discretization of the Lagrange-d'Alembert principle. This approach yi…
Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds
Cédric M. Campos, Elisa Guzmán, Juan Carlos Marrero
A description of classical field theories of first order in terms of Lagrangian submanifolds of premultisymplectic manifolds is presented. For this purpose, a Tulczyjew's triple as…
Constrained Variational Calculus for Higher Order Classical Field Theories
Cedric M. Campos, Manuel de Leon, David Martin de Diego
We develop an intrinsic geometrical setting for higher order constrained field theories. As a main tool we use an appropriate generalization of the classical Skinner-Rusk formalism…
Unambiguous Formalism for Higher-Order Lagrangian Field Theories
Cedric M. Campos, Manuel de Leon, David Martin de Diego +1
The aim of this paper is to propose an unambiguous intrinsic formalism for higher-order field theories which avoids the arbitrariness in the generalization of the conventional desc…
Functionally Graded Media
Cedric M. Campos, Marcelo Epstein, Manuel de Leon
The notions of uniformity and homogeneity of elastic materials are reviewed in terms of Lie groupoids and frame bundles. This framework is also extended to consider the case Functi…